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112853000 = 2353138681
BaseRepresentation
bin1101011101000…
…00000000001000
321212100112012202
412232200000020
5212342244000
615110455332
72540143331
oct656400010
9255315182
10112853000
1158780147
1231964548
131a4c3b30
1410db9288
159d92dd5
hex6ba0008

112853000 has 64 divisors (see below), whose sum is σ = 284422320. Its totient is φ = 41664000.

The previous prime is 112852981. The next prime is 112853003. The reversal of 112853000 is 358211.

It can be written as a sum of positive squares in 8 ways, for example, as 2896804 + 109956196 = 1702^2 + 10486^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (112853003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8660 + ... + 17340.

Almost surely, 2112853000 is an apocalyptic number.

112853000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112853000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142211160).

112853000 is an abundant number, since it is smaller than the sum of its proper divisors (171569320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112853000 is a wasteful number, since it uses less digits than its factorization.

112853000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8715 (or 8701 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 112853000 is about 10623.2292642115. The cubic root of 112853000 is about 483.2490803069.

The spelling of 112853000 in words is "one hundred twelve million, eight hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 8681 13000 17362 34724 43405 69448 86810 112853 173620 217025 225706 347240 434050 451412 564265 868100 902824 1085125 1128530 1736200 2170250 2257060 2821325 4340500 4514120 5642650 8681000 11285300 14106625 22570600 28213250 56426500 112853000